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2274345216 = 28341113259
BaseRepresentation
bin1000011110001111…
…1100000100000000
312212111120201010000
42013203330010000
514124213021331
61013403040000
7110234421033
oct20743740400
95774521100
102274345216
11a67899250
12535810000
132a3261c00
141780b101a
15d4a050e6
hex878fc100

2274345216 has 540 divisors, whose sum is σ = 8146852560. Its totient is φ = 625397760.

The previous prime is 2274345211. The next prime is 2274345247. The reversal of 2274345216 is 6125434722.

2274345216 is a `hidden beast` number, since 2 + 2 + 7 + 434 + 5 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2274345211) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38548195 + ... + 38548253.

It is an arithmetic number, because the mean of its divisors is an integer number (15086764).

Almost surely, 22274345216 is an apocalyptic number.

2274345216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2274345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073426280).

2274345216 is an abundant number, since it is smaller than the sum of its proper divisors (5872507344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2274345216 is a wasteful number, since it uses less digits than its factorization.

2274345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 2274345216 is about 47690.0955754966. The cubic root of 2274345216 is about 1315.0798654188.

Adding to 2274345216 its reverse (6125434722), we get a palindrome (8399779938).

The spelling of 2274345216 in words is "two billion, two hundred seventy-four million, three hundred forty-five thousand, two hundred sixteen".